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PhD in Mathematics (Doctor of Philosophy in Mathematics)

3 YearsDOCTORATE DEGREE COURSESYEAR

PhD in Mathematics About

PhD in Mathematics is a Doctorate of Mathematics course. It is the study of structure, space, quantity, and change. It seeks out patterns and formulates new conjectures. On the completion of a doctorate, scholars should submit their ‘thesis’ and, then they deserve the respective degree they are pursuing. The duration of the program is a minimum of 3 years and a maximum of 5-6 years. The minimum qualifications and other eligibility criteria for admission are M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline can also apply/ Some Institutes also offer direct admission for Graduate students with excellent academic performance. Ph.D. Mathematics is a broad-based course involving a minimum course credit requirement and a research thesis. Once you are accepted into a Ph.D. program in Mathematics, you will typically spend the first few years taking advanced coursework in topics like differential geometry, algebraic topology, and number theory. You will also work closely with faculty members on research projects, and may have the opportunity to teach undergraduate courses.

PhD in Mathematics Course Highlights

Course Level
Doctorate Course
Full-Form
Doctor of Philosophy in Mathematics
Duration
3 years
Examination Type
Semester-based
Eligibility
M.Sc. Degree in Mathematical or Physical Sciences/ B. Tech Candidates from any discipline with a minimum of 55% score
Admission process
Merit-based / Entrance Examination
Top Recruiting Companies
Banks, Investment Firms, Commerce Industry, Business Industry, Colleges, Universities, Research and Development Firms, Indian Civil Services, Inventory Management, Insurance Agencies, Statistics (e.g. Ernst & Young, Tiger Analytics, TCS Innovation Lab, Weizmann Institute, etc.)
Job Positions
Mathematician, Statistician, Loan Officer, Accountant, Economist, Researcher, Personal Banker, Cryptographer, Demographer, Professor, etc

PhD in Mathematics Entrance Exam

Many universities require applicants to take a standardized test, such as the GRE (Graduate Record Examination) or the Math Subject GRE, as part of the application process. These tests assess a student's readiness for advanced study in mathematics and are used by admissions committees to evaluate applicants' academic ability and potential.

PhD in Mathematics Admission Process

Admission to a Ph.D. program in Mathematics is highly competitive, and acceptance is based on a variety of factors, including academic achievement, test scores, letters of recommendation, and research experience. To be admitted, students typically need to have a strong academic record, excellent test scores, and evidence of research potential.

PhD in Mathematics Eligibility Criteria

  • M.Sc./ Master’s Degree in Mathematical or Physical Sciences
  • B. Tech Candidates from any discipline can also apply, it may vary by Institutes.
  • Some Institutes also offer direct admission for Graduate Students with excellent academics records.
  • Each college also further has a set minimum aggregate marks. Overall, it should be 55% (50% for SC / ST).

PhD in Mathematics Duration

The duration of a Ph.D. in Mathematics program varies depending on the university and the student's pace of study. Typically, it takes four to six years to complete the program, with the first two years focused on coursework and the remaining years devoted to research and dissertation writing.

PhD in Mathematics Selection Criteria

Selection criteria for admission to a Ph.D. program in Mathematics vary by institution, but typically include academic achievement, test scores, letters of recommendation, research experience, and a statement of purpose. Admissions committees look for evidence of strong academic performance, deep interest in mathematics, and potential for research.

PhD in Mathematics How to Apply

  • To apply for a Ph.D. in Mathematics, students should research universities that offer the program and review their application requirements.
  • Typically, applicants need to submit transcripts, test scores, letters of recommendation, a statement of purpose, and a writing sample.
  • Applications are submitted online through the university's admissions portal.
  • It is important to note that the application process can be highly competitive and time-consuming, so it is important to start early and be well-prepared.

PhD in Mathematics Application Process

The application process for a Ph.D. in Mathematics typically involves submitting an online application form through the university's admissions portal. Applicants will need to provide academic transcripts, test scores, letters of recommendation, a statement of purpose, and a writing sample. Some universities may also require additional materials, such as a resume or CV.

PhD in Mathematics Fee Structure

The application fee for a Ph.D. program in Mathematics varies by institution, but is typically between updated Soon.

PhD in Mathematics Syllabus

1 Year

  • Algebra
  • Analysis
  • Calculus
  • Computational Techniques
  • Computer Science

2 Year

  • Differential Equation
  • Differential Geometry
  • Discrete Mathematics
  • English Literature
  • Linear Programming

3 Year

  • Mathematical Finance
  • Mechanics
  • Metric Space
  • Number Theory
  • Probability Theory

job Scope After Completed for PhD in Mathematics

Job profile
Job Description
Cashier
Cashiers are responsible for selecting the right product, and also consider becoming a retail sales worker. They may also set up store displays and perform cashier duties. The training is generally offered by the employer.
Insurance Manager
Cashiers are responsible for selecting the right product, and also consider becoming a retail sales worker. They may also set up store displays and perform cashier duties. The training is generally offered by the employer.
Finance Manager
Insurance Managers are responsible for researching which helps them forecast how likely it is for certain risk events to occur and how these events will impact their company with a potential loss.
Accountant
Finance Managers are responsible for monitoring accounts, reviewing financial reports, maintaining reports, and preparing activity reports and financial forecasts. They also examine the ways to raise profitability and analyze markets for business opportunities.
Loan Counselor
These professionals are responsible for performing administrative duties such as the production of forms, and maintaining schedules. They prepare financial statements and tax returns, and accounting firms represent clients on matters pertaining to their financial affairs.
Professor/ Asst. Professor
Loan counselors are responsible for working with a financial institution, they process a client's application materials, verify the information, and work with the client to come up with a financial plan.

PhD in Mathematics Career Opportunities

Career opportunities for graduates with a Ph.D. in Mathematics include:

  • Academia: Many graduates with a Ph.D. in Mathematics pursue careers in academia, teaching and conducting research at universities and colleges.
  • Research: Mathematicians work in a variety of research settings, including government agencies, private companies, and research institutes.
  • Industry: Mathematicians work in a variety of industries, including finance, technology, and engineering, using their mathematical skills to solve real-world problems.

PhD in Mathematics Top Colleges

Some of the top colleges and universities for a Ph.D. in Mathematics include:

  1. Massachusetts Institute of Technology (MIT)
  2. University of California, Berkeley
  3. Harvard University
  4. Stanford University
  5. California Institute of Technology (Caltech)
  6. Princeton University
  7. University of Chicago
  8. University of Michigan
  9. University of Texas at Austin
  10. New York University (NYU)

PhD in Mathematics Admission Procedure

  • Application for the entrance exam 
  •  Result declaration
  • Entrance pass scholar calling for the interview and document verification
  • Provisional registration for pre Ph.D. course work classes
  • Coursework classes shall be attended as scheduled by University
  • Course work examination
  • Result declaration of coursework
  • Submission of synopsis ( 2 spiral bound copies with soft copy of synopsis)
  • Departmental research committee meeting scheduled by University
  • A registration letter shall be issued
  • Research work started by scholar
  • 6 progress reports shall be submitted
  • Soft copy thesis submit
  • plagiarism report check by the university
  • Final after the plagiarism report soft copy thesis shall be sent to experts for evaluation
  • After the consent of experts pre-submission, one set spiral binding shall be submitted
  • After the successful presentation of the pre-submission thesis 3 copies of hard bound thesis shall be  submitted
  • Viva shall be conducted as scheduled by University, Degree Awarded.

PhD in Mathematics Documents Checklist

  1.  Documents (10th onwards)
  2. Aadhar Card/Pan Card, Caste Certificate
  3. Migration Certificate (Original)
  4. NOC (From Organization/ Institute/ University)
  5. Affidavit (undertaking)
  6. Guide Willing
  7. Assignments
  8. Synopsis (3 copies), Progress Report
  9. Library No Dues
  10. Lab Letter
  11. Thesis Hard copy (Spiral binding)
  12. No Dues, Thesis (6 hard copies)
  13. Affidavit -Submission (on Rs 100 Stamp and Notary Attested)
  14. C.D Soft copies (Thesis & Synopsis)
  15. Conference Certificate - 2
  16. Research Papers -2 (with ISSN No.)
  17. summary (page limit 20-30) -3 Copies 
  18. Plagiarism Report Below 10%

FAQs About PhD in Mathematics

Q.1 - What is the procedure for PhD Admission to the University?

ANSWER: - The Ph.D. and M.Phil. programs of prestigious Universities are conducted and guided strictly as per the provisions and regulations dictated by the UGC (Minimum Standards and Procedure for Award of Ph.D./M.Phil. Degrees) (1st Amendment) Regulations, 2018 and subsequent amendments. The entire procedure for admission to the research programs encompasses a Research Entrance Exam (RET) and then an Interview/Viva Voce. The performance of a candidate in the RET is given 70% weightage, and the remaining 30% weightage is given to his/her performance at the Interview.

Q.2 - What are the modes of pursuing M.Phil. & Ph.D. programs at the University?

ANSWER: -Both the full-time and part-time modes are available at University for pursuing its Ph.D. programs and only the full-time mode is available for M.Phil. program in the desired subjects/fields. These highly-qualitative and prolific research programs are available in a rather broad range of fields/subjects. At University, the minimum time duration of the M.Phil. and Ph.D. programs is 1.5 Years and 3 Years, respectively, in general.

Q.3 - Are the Ph.D. and M.Phil. Degrees granted by any University valid abroad?

ANSWER: -Yes, of course. If the University is properly recognized under section 2(f) of the UGC Act of 1956 and is a prestigious member of the AIU (the Association of Indian Universities). It is an M.Phil. and Ph.D. degrees granted in various fields/subjects are duly valid across India and the world.

Q.4 - What are the main eligibility criteria for participating in the University Research Entrance Exam (RET)?

ANSWER: -The following are the main eligibility conditions for participating in the RET: - A rigorous Master’s Degree in the proposed subject/field obtained from any recognized university/institution located in India or abroad, with a minimum 55% marks in aggregate or an equivalent grade. Candidates belonging to SC/ST/OBC/Differently-abled categories are given a 5% relaxation in respect of this eligibility criterion. Candidates with an M.Phil. degree in the proposed field/subject, or have qualified for the UGC (JRF) Examinations/ NET/ SET/ SELT, etc., will be allowed to appear directly for the interview, without appearing in the RET. Impressive academic records, and any prior experience in research work, will be given additional advantages.

Q.5 - What relaxations are granted to the reserved categories for Ph.D.? Admission to the University?

ANSWER: - Candidates belonging to the categories of SC/ST/OBC (Non-Creamy layer)/Differently-Abled, and so on, are given all relaxations prescribed by the Govt. of India and the UGC. These relaxations are provided in form of 5% reduced marks for them at post-graduation, and also in the minimum qualifying marks at RET. Thus, candidates belonging to these categories only need to score a minimum of 45% marks at RET, to qualify for the final interview.

Q.6 - How will be the pattern of RET?

ANSWER: - The syllabus or pattern of RET consists of subject-specific matters, research methodology, and aptitude (covering logical reasoning, numerical ability, analytical reasoning, statistics, etc.).Thus, RET will contain a total of 70 multiple-choice questions (MCQs).

Q.7 - Are M.Phil. Holders/UGC- NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE exempted from appearing at RET?

ANSWER: - Yes. The holders of M.Phil. degrees in their respective fields/subjects are made exempt from appearing in RET. The same is the situation in cases of aspiring candidates who have qualified exams like UGC-NET (including JRF)/ UGC-CSIR NET (including JRF)/ SLET/ GATE, etc.

Q.8 - How is the application fee paid?

ANSWER: - The Application Fee (i.e. the fee for getting participated in RET) can be paid online or offline, like the Application Form. Payment Modes: DD (in Favor of the University) / NEFT/ Cash Deposit.

Q.9 - Do working candidates require to obtain NOC from employers for pursuing research at any University?

ANSWER: - Yes, necessarily. Working Professionals who are interested in research at any University are required to obtain the NOC (No Objection Certificate) from their respective employers, in order to avert any intrusion ever during the entire doctoral course.

Q.10 - Does an M.Phil. holder require to undergo Ph.D. coursework?

ANSWER: - Yes. M.Phil. holders are again required to undergo the coursework in Ph.D. at some Universities. However, their prior knowledge in the field/subject will be very supportive to them for learning and performing efficiently during the Ph.D. program.

Q.11 - Can I pay the yearly program/course fee in installments?

ANSWER: - Yes, you can pay the yearly course fee as many as in two installments, but well within the yearly session.

Q.12 - Does Any University provide any scholarship or stipend to pursuing scholars?

ANSWER: - Yes, of course. Many Universities offer scholarships as well as stipends to meritorious and talented candidates who undertake research studies at the University. Scholarships are granted to those candidates who come under the top 21 by scoring higher marks in RET and interviews. And, stipends are provided to those scholars who also give lectures to UG or PG students at the University, in addition to doing their Ph.D. coursework. The amount of the monthly stipend will be commensurate with the candidate’s qualifications and capabilities and may go up to Rs. 20,000.

Q.13 - What other many facilities are provided to research scholars at the University Campus?

ANSWER: - All necessary and constructive resources, amenities, and facilities are offered by well-established and prestigious universities to research scholars in various streams/subjects. These facilities include the following - spacious and peaceful study rooms, erudite and well-experienced academicians and research experts, Wi-Fi and diverse IT devices, state-of-the-art laboratories, well-stocked libraries, lavish R&D amenities, separate amenities for lodging and foods for male and female candidates, peaceful and constructive environment within the university campus, and many other comforting and convenient facilities and services.

DOCTOR OF PHILOSOPHY IN MATHEMATICS (PHD IN MATHEMATICS)

Doctor of Philosophy in Mathematics (PhD in Mathematics) is a 3 Years Doctorate Degree Courses program that focuses on Doctor of Philosophy. The course combines theoretical knowledge with practical skills to prepare students for a career in Doctor of Philosophy.

Name
PhD in Mathematics
Duration
3 Years
Type
DOCTORATE DEGREE COURSES
Eligibility
MASTER
Mode
YEAR
Admission Process
Entrance Exam

Syllabus & Subjects

First Year
Second Year
Third Year

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Top Colleges

School of Planning and Architecture
New Delhi
CEPT University
Ahmedabad
Sir JJ College of Architecture
Mumbai

Related Entrance Exams

NATA
National Aptitude Test in Architecture
JEE Main Paper 2
B.Arch/B.Planning
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